Search a number
-
+
401708384 = 25711214821
BaseRepresentation
bin10111111100011…
…001010101100000
31000222212220022022
4113330121111200
51310314132014
6103510001012
712645315320
oct2774312540
91028786268
10401708384
11196832500
12b2646168
13652bc08c
143b4cb280
15253eea8e
hex17f19560

401708384 has 72 divisors (see below), whose sum is σ = 993548304. Its totient is φ = 156499200.

The previous prime is 401708383. The next prime is 401708387. The reversal of 401708384 is 483807104.

It is a happy number.

It is a super-2 number, since 2×4017083842 = 322739251551782912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401708383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19694 + ... + 34514.

It is an arithmetic number, because the mean of its divisors is an integer number (13799282).

Almost surely, 2401708384 is an apocalyptic number.

401708384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401708384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496774152).

401708384 is an abundant number, since it is smaller than the sum of its proper divisors (591839920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

401708384 is a wasteful number, since it uses less digits than its factorization.

401708384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14860 (or 14841 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 401708384 is about 20042.6640943763. The cubic root of 401708384 is about 737.8537666552.

The spelling of 401708384 in words is "four hundred one million, seven hundred eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 154 176 224 242 308 352 484 616 847 968 1232 1694 1936 2464 3388 3872 6776 13552 14821 27104 29642 59284 103747 118568 163031 207494 237136 326062 414988 474272 652124 829976 1141217 1304248 1659952 1793341 2282434 2608496 3319904 3586682 4564868 5216992 7173364 9129736 12553387 14346728 18259472 25106774 28693456 36518944 50213548 57386912 100427096 200854192 401708384